So... is Memories finished or not?
NO, it is not finished.
Why?
The anime finished after the manga:
Anime finished: July 20, 2013
Manga finished: February 01, 1982
... But MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Memories
MEMORIES（メモリーズ）
Anime - Base
Release date: December 23, 1995
Buki yo Saraba
A Farewell to Arms
Anime - Adaptation
Release date: July 20, 2013
Synopsis
Memories is an anthology film comprised of three distinct and unrelated short stories, each exploring different themes and genres.
In "Magnetic Rose," space travelers investigating a distress signal stumble upon a seemingly abandoned space station, only to uncover a tragic past and confront unsettling illusions.
"Stink Bomb" follows an unfortunate lab worker who accidentally transforms himself into a walking biohazard, forcing him on a perilous journey to Tokyo while unknowingly wreaking havoc.
Finally, "Cannon Fodder" depicts life in a militaristic city completely dedicated to artillery, where a young boy dreams of becoming a celebrated cannon operator despite the ambiguous nature of the enemy.